Primality proof for n = 5507309:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1376827.html>1376827 is prime.</a>
<br>b^((n-1)/1376827)-1 mod n = 15, which is a unit, inverse 367154.
<p>(1376827) divides n-1.
<p>(1376827)^2 > n.
<p>n is prime by Pocklington's theorem.